Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 20 - Circle>Practice Exercise>Q 23

EASY

NDA & NA EE

IMPORTANT

Earn 100

What is the radius of the circle touching $X$ -axis at $(3, 0)$ and $Y$ -axis at $(0, 3) ?$

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Important Questions on Circle

EASY

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 20 - Circle>Practice Exercise>Q 24

The angle subtended at the centre of a circle of radius

3 cm

by an arc of length

1 cm

is

MEDIUM

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 20 - Circle>Practice Exercise>Q 25

Which one of the following points lies inside a circle of radius

6

and centre at

(3, 5) ?

EASY

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 20 - Circle>Practice Exercise>Q 26

The radius of the circle

x^{2} + y^{2} + x + c = 0

passing through the origin is

MEDIUM

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 20 - Circle>Practice Exercise>Q 28

A straight line

x = y + 2

touches the circle

4 (x^{2} + y^{2}) = r^{2} .

The value of

r

is

MEDIUM

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 20 - Circle>Practice Exercise>Q 29

If the centre of the circle passing through the origin is

(3, 4),

then the intercepts cut-off by the circle on

X

-axis and

Y

-axis, respectively are

MEDIUM

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 20 - Circle>Practice Exercise>Q 30

If a circle of radius

b

units with center at

(0, b)

touches the line

y = x - \sqrt{2},

then what is the value of

b ?